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Commutative algebra noetherian and non-noetherian perspectives by Fontana, Marco

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Published by Springer Science+Business Media in New York .
Written in English

Subjects:

  • Commutative algebra,
  • Algebraic Geometry

Book details:

Edition Notes

Statementeditors, Marco Fontana ... [et al.].
Classifications
LC ClassificationsQA251.3 .C6548 2011
The Physical Object
Paginationviii, 492 p. :
Number of Pages492
ID Numbers
Open LibraryOL25359942M
ISBN 101441969896
ISBN 109781441969897
LC Control Number2010935809
OCLC/WorldCa660559779

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This is not to say that no one else cares about my "great 21st century commutative algebra book". I have gotten a lot of feedback to the contrary, and I do think it -- or rather, parts of it -- are being read by a worldwide audience. Conversely, I regularly peruse other people's great 21st century commutative algebra books for nuggets of insight. Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings; rings of algebraic integers, including the ordinary integers; and p-adic integers. But this book makes them very clear. It is more geometrical, and has more motivation, than Atiyah and MacDonald INTRODUCTION TO COMMUTATIVE ALGEBRA. It is briefer and more surveyable than Eisenbud COMMUTATIVE ALGEBRA. If you go on in the subject you will certainly need Eisenbud's book. their book “has the modest aim of providing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts on Commutative Algebra The lecture-note origin of this.

Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and 4/5(1). This is the softcover reprint of the English translation of (available from Springer since ) of the first 7 chapters of Bourbaki's 'Algèbre commutative'. It provides a very complete treatment of commutative algebra, enabling the reader to go further and study algebraic or arithmetic. Since you've mentioned Sharp, let me write some thoughts about the book "Steps in commutative algebra". This book, as Sharp says, is intended to be a preparatory book for other well-known books of Commutative Algebra like Matsumura and Atiyah-Mc Donald because its treatment is more elementary since the author doesn't discuss any topic of. This category contains pages that are part of the Commutative Algebra book. If a page of the book isn't showing here, please add text {{BookCat}} to the end of the page concerned. You can view a list of all subpages under the book main page (not including the book main page itself), regardless of whether they're categorized, here.

their book \has the modest aim of providing a rapid introduction to the subject. It is designed to be read by students who have had a rst elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts on Commutative happyplacekidsgym.com lecture-note . This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. There's no law against reading more than one book at a time! Although algebraic number theory and algebraic geometry both use commutative algebra heavily, the algebra needed for geometry is rather broader in scope (for alg number theory you need to know lots about Dedekind domains, but commutative algebra uses a much wider class of rings). A Course in Commutative Algebra (c), by Robert B. Ash (PDF files at UIUC) First Book in Composition, Applying the Principles of Grammar to the Art of Composing: Also, Giving Full Directions for Punctuation; Especially Designed for the Use of Southern Schools.